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[" ExAMPLE 68The integral "int(1+x-(1)/(...

[" ExAMPLE 68The integral "int(1+x-(1)/(x))e^(x+(1)/(x))dx" is equal to "],[[" (a) "(x+1)e^(x+(1)/(x))+C," (b) "-xe^(x+(1)/(x))+C],[" (c) "(x-1)e^(x+(1)/(x))+C," (d) "xe^(x+(1)/(x))+C],[" Ans.(d) "," [JEE (Main) 2014"]]

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The integral int(1+x-(1)/(x))e^(x+(1)/(x))dx is equal to (1)(x-1)e^(x+(1)/(x))+C(2)xe^(x+(1)/(x))+C(3)(x+1)e^(x+(1)/(x))+C(2)-xe^(x+(1)/(x))+C

int(1+2x^(2)+(1)/(x))e^(x^(2)-(1)/(x))dx is equal to (a) -x e^(x^(2)-(1)/(x))+c (b) x e^(x^(2)-(1)/(x))+c (c) (2x-1) e^(x^(2)-(1)/(x))+c (d) (2x+1) e^(x^(2)-(1)/(x))+c

int(1+2x^(2)+(1)/(x))e^(x^(2)-(1)/(x))dx is equal to (a) -x e^(x^(2)-(1)/(x))+c (b) x e^(x^(2)-(1)/(x))+c (c) (2x-1) e^(x^(2)-(1)/(x))+c (d) (2x+1) e^(x^(2)-(1)/(x))+c

int((1+x)e^(x))/("cot" (xe^(x)))dx is equal to

The integral int(1+x-1/x)e^(x+1/x)dx is equal to (1) (x-1)e^(x+1/x)+C (2) x e^(x+1/x)+C (3) (x+1)e^(x+1/x)+C (4) -x e^(x+1/x)+C

int (xe ^(x))/( (1 + x )^(2)) dx is equal to a) ( - e ^(x))/( x +1) + C b) (e ^(x))/( x +1 ) + C c) (xe ^(x))/( x +1)+ C d) (- xe ^(x))/( x +1 ) +C

int( x-1)e^(-x) dx is equal to : a) ( x- 2)e^(x) + C b) x e^(-x) + C c) - x e^(x) + C d) ( x+1)e^(-x) +C

int(1)/(x^(2))e^((x-1)/(x))=......," (A) "(x)/(e^(x-1))+c," (B) "e^((x-1)/(x))+c," (C) "-e^((x)/(x-1))+c," (D) "-e^((x-1)/(x))+c

(d)/(dx){sin^(-1)(e^(x))} is equal to (a) e^(x)sin^(-1)(e^(x)) (b) (e^(x))/(sqrt(1-e^(2x))) (c) (e^(x))/(1-e^(x)) (d) e^(x)cos^(-1)x]]

int(x-1)\ e^(-x)\ dx is equal to x e^x+C (b) x e^x+C (c) -x e^(-x)+C (d) x e^(-x)+C